13905291840400 has 135 divisors (see below), whose sum is σ = 34141990588689. Its totient is φ = 5442401562240.

The previous prime is 13905291840371. The next prime is 13905291840413. The reversal of 13905291840400 is 404819250931.

The square root of 13905291840400 is 3728980.

It is a perfect power (a square), and thus also a powerful number.

13905291840400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5005905062544 + 8899386777856 = 2237388^2 + 2983184^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3505239217 + ... + 3505243183.

Almost surely, 2^{13905291840400} is an apocalyptic number.

13905291840400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13905291840400 is the 3728980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13905291840400

13905291840400 is an abundant number, since it is smaller than the sum of its proper divisors (20236698748289).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13905291840400 is an frugal number, since it uses more digits than its factorization.

13905291840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 13905291840400 in words is "thirteen trillion, nine hundred five billion, two hundred ninety-one million, eight hundred forty thousand, four hundred".